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Units[Standard]

  

ln

  

natural logarithmic function in the Standard Units environment

  

log

  

general logarithmic function in the Standard Units environment

  

log10

  

common logarithmic function in the Standard Units environment

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

ln(expr)

 

log(expr)

 

log10(expr)

 

log[b](expr)

log[b]expr

Parameters

expr

-

algebraic expression

b

-

algebraic expression, the base of the logarithm

Description

• 

In the Standard Units environment, the arguments for the logarithmic functions can be unit-free, or multiplied by a unit that is energy-equivalent to a rational power of the dimension length(base)/length. Examples of such units are watt/watt(base) (power ratio) or voltage/voltage(base) (voltage ratio).

• 

For non-unit-free expressions, the result is expressed in the dimension of logarithmic gain. The unit of the object returned is the neper by default.

• 

For other properties, see the global function ln.

Examples

Notes: 

– 

To enter a unit in 2-D Math input, select the unit from the appropriate Units palette. If the unit you want is not there, select unit and then enter the unit.

– 

In Maple 2015 and later versions, the double brackets around a unit are not displayed unless you are editing the unit.

withUnits[Standard]:

VRln5.32'volts''voltsbase'

VR:=1.671473303Np

(1)

PRln5.32'watts''wattsbase'

PR:=0.8357366515Np

(2)

mapconvert,VR,PR,'units','dB'

14.51823264dB,7.259116321dB

(3)

convert'volts''voltsbase','dimensions','energy'

lengthbaselength

(4)

convert'watts''wattsbase','dimensions','energy'

lengthbase2length2

(5)

See Also

ln

Units

Units/logarithmic_gain

Units/Standard

Units/Standard/exp

 


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